Exercise · ZW-DENSITY-OF-THE-RATIONALS-006 · ★★☆ Intermediate
The rational midpoint of \(\tfrac27\) and \(\tfrac37\) is:
Choose one option.
Show answer
- C. \(\tfrac5{14}\)
Explanation
The midpoint is \(\tfrac12\big(\tfrac27+\tfrac37\big)=\tfrac5{14}\), which lies between them. The others fall outside.
Review the concept: Density of the rationals
Property of the rationals \(\mathbb Q\) inside the reals: between any two distinct reals \(a<b\) there is always a rational \(q\).
\[a
More practice problems: density of the rationals
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- ZW-DENSITY-OF-THE-RATIONALS-004 Is there a positive rational smaller than all the others?
- ZW-DENSITY-OF-THE-RATIONALS-005 Which number lies between 0.999 and 1?
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